400314400 has 36 divisors (see below), whose sum is σ = 977269482. Its totient is φ = 160125440.

The previous prime is 400314389. The next prime is 400314403. The reversal of 400314400 is 4413004.

It can be written as a sum of positive squares in 3 ways, for example, as 295702416 + 104611984 = 17196^2 + 10228^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (400314403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 249397 + ... + 250996.

Almost surely, 2^400314400 is an apocalyptic number.

400314400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400314400 is an abundant number, since it is smaller than the sum of its proper divisors (576955082).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

400314400 is a wasteful number, since it uses less digits than its factorization.

400314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500413 (or 500400 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 400314400 is about 20007.8584561167. The cubic root of 400314400 is about 736.9992924233. Note that the first 3 decimals are identical.

Adding to 400314400 its reverse (4413004), we get a palindrome (404727404).

The spelling of 400314400 in words is "four hundred million, three hundred fourteen thousand, four hundred".